Final answer:
Jane and Joachim need to purchase 12 peony plants to fill their 8-yard-long flowerbed, as each peony requires 2 feet of space and the flowerbed is 24 feet long.
Step-by-step explanation:
The question asks how many peony plants Jane and Joachim Romez need to purchase to fill their 8-yard-long flowerbed, given that the plants need to be planted 2 feet apart. To solve this, we first convert the length of the flowerbed from yards to feet because the spacing of the plants is given in feet.
Since 1 yard is equal to 3 feet, an 8-yard-long bed is 8 x 3 feet, which is 24 feet long. If peony plants require 2 feet of space each, we can fit 1 plant per 2 feet of length. Therefore, to find out how many plants are needed, we divide the total length of the flowerbed by the spacing between the plants.
24 feet ÷ 2 feet per plant = 12 plants.
Hence, Jane and Joachim need to purchase 12 peony plants for their flowerbed.